What is the Least Common Multiple of 78768 and 78786?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78768 and 78786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78768 and 78786, than apply into the LCM equation.

GCF(78768,78786) = 18
LCM(78768,78786) = ( 78768 × 78786) / 18
LCM(78768,78786) = 6205815648 / 18
LCM(78768,78786) = 344767536

Least Common Multiple (LCM) of 78768 and 78786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78768 and 78786. First we will calculate the prime factors of 78768 and 78786.

Prime Factorization of 78768

Prime Factorization of 78786

Now multiplying the highest exponent prime factors to calculate the LCM of 78768 and 78786.

LCM(78768,78786) = 2⁴ × 3³ × 547¹ × 1459¹
LCM(78768,78786) = 344767536